{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Weak Galerkin Methods for Poisson Equation in 3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example is to show the rate of convergence of the linear finite element approximation of the Poisson equation on the unit cube:\n",
    "\n",
    "$$- \\Delta u = f \\; \\hbox{in } (0,1)^3$$\n",
    "\n",
    "for the following boundary conditions\n",
    "- Non-empty Dirichlet boundary condition: $u=g_D \\hbox{ on }\\Gamma_D, \\nabla u\\cdot n=g_N \\hbox{ on }\\Gamma_N.$\n",
    "- Pure Neumann boundary condition: $\\nabla u\\cdot n=g_N \\hbox{ on } \\partial \\Omega$.\n",
    "- Robin boundary condition: $g_R u + \\nabla u\\cdot n=g_N \\hbox{ on }\\partial \\Omega$.\n",
    "\n",
    "**References**:\n",
    "- [Quick Introduction to Finite Element Methods](femdoc.html)\n",
    "- [Introduction to Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch2FEM.pdf)\n",
    "- [Progamming of Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch3FEMCode.pdf)\n",
    "\n",
    "**Subroutines**:\n",
    "\n",
    "    - Poisson3WG\n",
    "    - cubePoisson3WG\n",
    "    - femPoisson3\n",
    "    - Poisson3WGfemrate\n",
    "    \n",
    "The method is implemented in `Poisson3` subroutine and tested in `cubePoisson`. Together with other elements (P1, P2,Q1,WG), `femPoisson3` provides a concise interface to solve Poisson equation. The P1 element is tested in `Poisson3femrate`. This doc is based on `Poisson3femrate`.    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## P1 Linear Element\n",
    "\n",
    "For the linear element on a simplex, the local basis functions are barycentric coordinate of vertices. The local to global pointer is `elem`. This is the simplest and default element for elliptic equations.\n",
    "\n",
    "**A local basis of P1**\n",
    "\n",
    "For $i = 1, 2, 3,4$, a local basis of the linear element space is given by the barycentric coordinate\n",
    "\n",
    "$$\\phi_i = \\lambda_i, \\quad \\nabla \\phi_i = \\nabla \\lambda_i = - \\frac{1}{6|T|}\\boldsymbol n_i$$\n",
    "\n",
    "where $\\boldsymbol n_i$ is the scaled (not unit) outwards normal direction with length $|\\boldsymbol n_i| = 2|F_i|$, with $F_i$ being the face opposite to the i-th vertex. The gradient can be computed by\n",
    "\n",
    "    [Dlambda,volume]= gradbasis3(node,elem);\n",
    "\n",
    "See [Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch2FEM.pdf) Section 2.1 for geometric explanation of the barycentric coordinate and [Programming of Finite Element Methods in MATLAB](http://www.math.uci.edu/~chenlong/226/Ch3FEMcode.pdf) for detailed explanation. For P1 element, the basic data structure `node,elem` is sufficient and displayed for the following coarse mesh."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "node = [-1,-1,-1; 1,-1,-1; 1,1,-1; -1,1,-1; -1,-1,1; 1,-1,1; 1,1,1; -1,1,1]; \n",
    "elem = [1,2,3,7; 1,6,2,7; 1,5,6,7; 1,8,5,7; 1,4,8,7; 1,3,4,7];\n",
    "clf; showmesh3(node,elem,[],'FaceAlpha',0.25);\n",
    "view([-53,8]);\n",
    "axis on\n",
    "findelem3(node,elem);\n",
    "findnode3(node);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     1     2     3     7\n",
      "     1     6     2     7\n",
      "     1     5     6     7\n",
      "     1     8     5     7\n",
      "     1     4     8     7\n",
      "     1     3     4     7\n",
      "\n"
     ]
    }
   ],
   "source": [
    "disp(elem);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unlike 2-D case, to apply uniform refinement to obtain a fine mesh with good mesh quality, a different ordering of the inital mesh, which may violate the positive ordering, should be used. See [3 D Red Refinement](uniformrefine3doc.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixed boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4913,  #nnz:    23790, smoothing: (1,1), iter: 11,   err = 3.72e-09,   time = 0.14 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    35937,  #nnz:   209374, smoothing: (1,1), iter: 11,   err = 5.13e-09,   time = 0.24 s\n",
      "Table: Error\n",
      " #Dof       h        ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  125   2.500e-01   6.46061e-02   9.23927e-01   1.17911e-01   6.04325e-02\n",
      "  729   1.250e-01   1.86268e-02   4.80477e-01   3.91991e-02   1.95770e-02\n",
      " 4913   6.250e-02   4.86895e-03   2.42898e-01   1.06348e-02   5.17072e-03\n",
      "35937   3.125e-02   1.23196e-03   1.21798e-01   2.72075e-03   1.31609e-03\n",
      "\n",
      "Table: CPU time\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  125   1.09e-01   1.88e-02   6.00e-02   2.00e-02\n",
      "  729   4.94e-02   9.26e-04   3.00e-02   5.00e-02\n",
      " 4913   1.40e-01   1.41e-01   1.00e-01   1.00e-01\n",
      "35937   1.45e+00   2.39e-01   8.50e-01   8.60e-01\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nCQAAAC38HxtrlruQYgUzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Setting\n",
    "[node,elem] = cubemesh([0,1,0,1,0,1],0.5); \n",
    "mesh = struct('node',node,'elem',elem);\n",
    "option.L0 = 1;\n",
    "option.maxIt = 4;\n",
    "option.elemType = 'P1';\n",
    "option.printlevel = 1;\n",
    "option.plotflag = 1;\n",
    "\n",
    "%% Non-empty Dirichlet boundary condition.\n",
    "pde = sincosdata3;\n",
    "mesh.bdFlag = setboundary3(node,elem,'Dirichlet','~(x==0)','Neumann','x==0');\n",
    "femPoisson3(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pure Neumann boundary condition\n",
    "\n",
    "When pure Neumann boundary condition is posed, i.e., $-\\Delta u =f$ in $\\Omega$ and $\\nabla u\\cdot n=g_N$ on $\\partial \\Omega$, the data should be consisitent in the sense that $\\int_{\\Omega} f \\, dx + \\int_{\\partial \\Omega} g \\, ds = 0$. The solution is unique up to a constant. A post-process is applied such that the constraint $\\int_{\\Omega}u_h dx = 0$ is imposed. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4913,  #nnz:    32650, smoothing: (1,1), iter: 13,   err = 2.43e-09,   time = 0.076 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    35937,  #nnz:   245018, smoothing: (1,1), iter: 14,   err = 4.76e-09,   time = 0.24 s\n",
      "Table: Error\n",
      " #Dof       h        ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  125   2.500e-01   7.70680e-02   8.69504e-01   3.38890e-01   1.33687e-01\n",
      "  729   1.250e-01   2.35461e-02   4.70688e-01   1.05354e-01   4.13393e-02\n",
      " 4913   6.250e-02   6.27721e-03   2.41377e-01   3.23192e-02   1.41357e-02\n",
      "35937   3.125e-02   1.59840e-03   1.21576e-01   9.72436e-03   5.74640e-03\n",
      "\n",
      "Table: CPU time\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  125   3.73e-02   1.12e-03   1.00e-02   0.00e+00\n",
      "  729   1.32e-02   1.28e-02   1.00e-02   1.00e-02\n",
      " 4913   9.45e-02   7.62e-02   7.00e-02   1.00e-01\n",
      "35937   1.47e+00   2.41e-01   8.40e-01   8.60e-01\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA\nB3RJTUUH4gkMEBEl1GWZxwAAACR0RVh0U29mdHdhcmUATUFUTEFCLCBUaGUgTWF0aFdvcmtzLCBJ\nbmMuPFjdGAAAACJ0RVh0Q3JlYXRpb24gVGltZQAxMi1TZXAtMjAxOCAwOToxNzozN/NBlJEAACAA\nSURBVHic7J15fFNV+v+flAJlEWixUAqlNyxtkU3KpgVsWgqMICggnX5VSOqM4kLB7+Dv67iRBJ1B\nUJxKAcdRbACXyoAiuAFCAwKyWGUta0nKUqDspdCW0t7fH6e5hKz3Jvfmbs/71Rev5OTk3CfJEz45\nz3nOczQ0TQOCIAiCiE2Y2AYgCIIgCAAKEoIgCCIRUJAQBEEQSYCChCAIgkgCFCQEQRBEEqAgIQhn\nbt++nZ6ePm7cOG8dzp8//9RTT8XGxlIUNXny5NOnT4fSPAQJHr9O/tVXXw26m48//jjIi4YH+XwE\nUSHvvfdeYWFh586dPT5aW1s7bNiwY8eOtWjRonHjxp999tnu3bu3b98eFRUVYjsRJGB8OzkAbNmy\nZffu3c4to0ePDvKiKEgIwoFZs2b9/PPPv/76q48+X3zxxbFjxzp37lxUVNSyZcuMjIxt27YtW7bs\npZdeCpmdCBIwbJwcAA4cOAAAhw4dio6OJi3NmzcP8tIYskMQDuTn5/v9ou7cuRMAJk+efO+990ZE\nREyfPh0Avv7661DYhyBBw8bJAeDgwYNRUVFJSUlVVVURERFt27Zt1qxZkJdGQUIQDhQWFhYXFy9d\nutRHn6qqKgCora0ld+vr6wHg8OHDITAPQYKHjZOfO3fu0qVLLVq06Nu3b1xcXOvWrZ944onKysog\nL42ChCAc6NatW48ePXwE1gFg2LBhAJCfn7958+Z9+/bNmTMHAC5duoRluhBZwMbJSbyurKwsJSXl\n1Vdfbd269ZdffvnGG28EeWkJrSEtWbJk//79Lo2NGjXq3r37iBEjunbtKopVvqFp+ttvv/3jjz+q\nqqqys7N79OghtkVqZ9asWRUVFXFxcTNnzuT63JkzZ9bV1SUlJT333HPB2KDX61etWvXDDz/odDoA\nePDBBwGgdevWGo0GnRwJHik4eY8ePX744YeYmJh+/foBwNChQ8eMGbN8+fLc3NxghgVaMjz66KPe\njGzatOm///1v9kP9/vvvQ4YMGTJkSEFBgXAG0zQ9YcIExsiVK1cKei2EDbGxsQDQv3//AJ7bpEkT\nABg5cqTfnoWFhQDQuXNnbx3q6+u/++67t956q6CggHROTk6m0ckRPpCCk587d+7EiRPXrl0jd8+c\nOQMAGo2muro6AKsYJDRDYujVq1fbtm0BoKam5vfff79161ZNTU1OTs6QIUN69erFZoRr165t27YN\nAJy/S7yzc+dOslJ93333ZWZmJiUlCXcthCXjxo27cuVKly5dQnnR6urqn376CQCGDh167733/vTT\nT3l5eYMGDTIajQBAfopmZWU5PwWdHAkYKTj57NmzFy9ePG7cuG+//RYA1q1bBwAJCQlNmzYN6jLB\nqBm/MD8ev/vuO6bx+vXrycnJpP2dd95xeUp9ff3ly5dv3brl0k60HQDmz5/vfqGbN29yte3mzZt1\ndXUujcyi3/Lly9kMcuPGDfdB/F7FvQ+bawX8XHcjb926dfv27eBH9t2HzZvj9xI+nltZWem3m8uP\nRx9XdPnxWFZWRjxh06ZNNE3b7fZmzZqFhYW9+OKLzzzzjEaj6dy588WLF2l0cnRypTj51q1bw8PD\nASAlJeXJJ59s3LgxAHz22WcB20+QuiDRNP3222+T9jfeeINp/PLLLx988EHyLgBAYmLi3Llz6+vr\naZoeMWKEVqsl7R06dOjdu/eXX35J0/SFCxeys7PJSl3nzp2ffPLJc+fO+Tbp+vXrM2bM6Nq1q0aj\nad68+aBBg5iQRe/evTt27EiuEh8f37t372PHjnkbJCcnp1u3bhqNpkmTJgMHDvzqq69YXoWm6eTk\n5N69e7/11ls//fRT7969w8LC7rnnnscee+z8+fOkg16v7927d9++fSsqKkjLzZs3+/Xr17t377//\n/e9+Xzgz/q5duwYMGAAAn3/+OXlo586dQ4YMiYiIaNGixejRo48cOdK7d+/evXsvWbKEdGA5sjfL\n2bw5XD+19PT03r17//nPf6Zp+tq1ay+++GK7du3Ix9S2bdvnnnvu8uXL3p7LfFeLior69+/v0WCC\n7+8qTdNr164l7tGoUaOUlJQTJ06QdnRydHLFOPmqVasYJ4yMjPzoo4982MwSGQjSY489RtrXrVtH\nWj744APS0qpVq9TU1JiYGHL3n//8J03TWq22UaNGpCUsLCw8PHzRokVHjhxhujGPxsfHHz9+3Js9\nFy5coCjK5SkA8NJLL9E0HR4eHhYWxjwaHh6+f/9+j4N069aNMYYZZN68eWyuQjsc6L777iM3GEaM\nGEE6vPfee6RlxYoVpGXNmjWk5auvvvL7wsmwY8aMueeee8ij5Lv6yy+/MLNv8kRmyX3OnDk0TbMc\n2Yflft+cAD415/A6ySkICwsbMmRIz549ySWSk5PJ/+nuEDspimrdurVHgzlx+/btkpISJshOQCdH\nJ3d5c2Tt5PX19WfOnDlx4oS3y3FFioI0derUBQsWLFiwYN68eaNHjyYf0p/+9KeqqirSMz4+HgBi\nYmLIfPPq1astWrQAgJSUFNLBPZqRlpYGAFqttqioqLq6evXq1WRTcVZWljd79Ho9+aQXLVp08+bN\nkydPjhgxAgA0Gs2WLVtoml6yZAm5yjfffONtECaVJTc39+bNm3v27ElMTASA8PBw8l+V36swjv70\n00/v3bu3oKDg3nvvJS3kR83Jkyc1Gg0APPnkk+Sif/nLXwCgRYsWN27c8PvCmfEjIiKeffbZ999/\nn/ynk5KSAgCNGzdesWJFbW3t/v37me8V+a6yH9mb5X7fnAA+Nea7ev78eTL4iy++SB5iZiE7duzw\n+Fy/BgcPOjk6ueKdPBikKEjuPPDAA0wMva6urqioqKioiAmDHD58OCIiAgCSkpJIi8t39eDBg+Ru\nfn4+czniKI0aNTp79qy7MTU1NSRCOmbMGKbx9OnT5D+O7OxsmsV39datW2SQjIwMpvHHH3+cPHny\n5MmTDxw4wOYqxIFiY2OZ6POf//xnct2ioiLSMmTIEABo06ZNbW1tXV0dmb//+c9/ZvPCGQdlfpvT\nNM04OvP9p2m6oKCA+a6yH9mb5X7fnAA+Ndrpu3ry5Eny9Ojo6Ly8vGPHjtXV1VVWVlZWVtbW1np8\nLpu3OkjQyT1eBZ1cSU4eDFLcGDto0KCxY8eOHTv2gQceIDPQHTt2ZGZmkkfDwsL69et39uzZ3Nxc\nEknv0aNHdXW1jwH37dtHbkydOrWZA/JNq6urO3HihPtTjhw5cvv2bQAgv6EIHTt2JHFexo18c/z4\ncTJIamoq0/inP/1p2bJly5Yt69mzJ/urdO3alZnv9+nTh9y4ceMGuUEyuK5evbply5YdO3aUl5cD\nQGZmJvsX3q1bt5EjRzpbTm7cf//9TGP//v2Z2+xH9ma53zcngE/Nmbi4uKeffhoALly4kJOT0717\n99jY2BdffPHEiRPk/whv+H6r+QKdHJ1c8U4eAFJM+541a9aYMWPI7XPnziUlJV27dm316tV79+7t\n27dvfX39hAkTSK4hRVH9+/d/9tlnFy9e7KPCPynlAgBJSUkk19YZEgpwgfnyu3yu5K7v/xoYrl27\nRm54S4VkfxXnIlHMKjfD448/PmPGjPr6+m+//Zb8jr7nnntGjx795Zdfkg5+X7jLrmymSKJzLZCa\nmhrmNvu31Jvlft+cAD41F5YsWTJ58uSVK1du2LDh6NGj58+fX7p06VdffbVly5aBAwd6e5bvt5ov\n0MnRyTldwhtSdvIAkKIgORMTEzN58uSFCxcCQFFRUd++fXfv3k2+qNOmTVuwYAH5zD788EOPT6dp\nGgB69uxJ7o4bN+6tt94it+vr68mXwWNBwPvuu0+j0dA0zfyEAYBr166ROTIzoG+YQfbs2cM0rl+/\nntgwd+7cvn37Bn8VAIiJidHpdJs2bfr222+J648dOzYiIoL9C3f5z4KsmdfV1a1Zs2bWrFnkx9R/\n//tfpkMAbynXNyfIS1y8ePHUqVOtW7d+//33mzRpcvLkyX/961+5ubnV1dWfffaZj+9q6EEnZwM6\nuTsycnKWSDFk5wIzob548SIAMGFT4ugA8Ntvv506dcr5Kcwvi507d167dq1Hjx4kPfHzzz8nNS5v\n3rz5xBNPtGjRIikpicypXWjRosXw4cMBYNWqVWT7IU3Tr776KvkB5WMlwBmSHwUAX3/9NameW15e\nPmvWrK1bt+7cubNXr168XIVAAhqlpaVHjx4FABIX7tu3L9cXTmjduvWkSZMA4I8//hg7dmx+fv6M\nGTOYL0wwI7N/c4K8xL59+5KTk5OTk1etWgUAnTt3fvbZZ8lD7j9FRQednA3o5C7Iy8lZIcbClWe8\nZcSuX7+etP/tb3+jabqkpIQsh0ZGRk6dOjUrK4vJX4yLiyNPIXUsGPLy8r7//nsmZtqtWzcy5Qef\n2/2OHj1KJvUajSYxMZH5gEePHk06sElAOnz4sPMgzG80ksPD5irupT7mzZtH+pAMJcLFixeZwVu3\nbs0U8PD7wr2VErHZbCQdiCE7O9vZ+ABGdrHc75sTwKfGrPdWV1d3794dACIiIrKysl544QWypSYi\nImLPnj0en8vyrQ4GdHJ0csU7eTDIQJCYZJjBgweTlk8++YT5fjZt2vSNN9545JFHwCmTkqbpuXPn\nRkZGMt9Vmqa3bt3KFGWJiIjIyMggewl9cOzYsYyMDMZd7rnnHrPZXFNTQx5l812lafro0aNpaWnM\nINHR0QsWLGB/FfYO9PDDD5P2KVOmOLf7fuE+altdvXo1Ly9Pr9c///zzq1atKikpIYMwecZcR3a3\n3O+bw/VTc96icfr06ccee8w5UNOnTx/nPCsXRBQkdHJ0csU4eTBoaHmWxL958+bRo0ebNGnStWtX\nbwuG9fX1165dq6+vj4yMZLzh2rVrJ06c6NGjB/NLxC/V1dWHDx9u06ZNfHw8m2VGbwYfPnw4MjKy\nc+fOznsD+b2KD7i+8I8//riioqJVq1bPPPMMafnkk0/I7a+//nr8+PEBj+yO3zcnmEuQ5YqqqqrY\n2NhOnToFZqEooJNzBZ1cdk7uglwFCRGaJ5988osvvgCAN954IzMzc+vWrfPmzbPb7bGxsSdOnAi2\nhCKCSAB0cqmBgoR45syZMxkZGS7nnMbHx5MCa2JZhSA8gk4uNVCQEK/U1NSsXLnyl19+uXLlSkJC\nQs+ePR9++GGXElgIImvQySWF8gXJvM6W2q1NdsEh++VqKioiP6vH5uNXjaO0YtuFIHyjBbADUAA2\nsS1BkICQ+sbYIMkuOGTZfZb6LcJ+uWFDeNriP8gN1CQEQRBJIYONscFgHKkFAEaNmBup3dqIZhOC\nIAjiCYWH7LT/2M6IEAMVFQEAttdTPD0DQeQGM9W3AwAA5fQQxu4QWaHwkJ27GjGNLju0EZUzaNCg\n5cuXi21FQNi93kUnR1yQup+LuStXeKi3t8HfNnr8M3xZbLtUJcRFXbZhizVUQkKCENdi0813Hx+P\n+rDZ47OCaXS5Fte3S0JQjj9w+iMtgoFOLkcn9311KaDwkJ215AqTxeAOFRVhGNBBP7ADCeIpjMTE\nxCNHjohtBTdCabPLteT4drmidZoeFQLoxLMkVMjxUxPRyUN89QBQeFLD5uNXPbYTBbJfrjatt6V9\n+Lt5nc1jcE/WTJs2TWwTOBNKm+X4/nAgW2wDQoIcP0R0ch8ofIYEbvuQCp9PtpZc0XWNtJZcMa+/\no0NktoS54OokLy9v4cKFUv7lyArt3etJBoB8kSxBpIrEZ0jKFyQG90/Cfrl66e6zlt/OoiwhEv+i\nsiQxMfHIuiOQ5lAmdQTuEPZI3M8VHrLzDRUVYRylLXw+2TSyQYFIEE/7j+3mdZgwi8gTymlipI7A\nHaIYVC1IBCJLttdTUJYQhaADMAEAgB01CZETKEgNoCwhikLv2CFrAbCKaQiCsAcF6S58yJJl91lx\nbUMQNuTl5QFg4A5xJS8vT/obpVWd1OAbkvJgWn9nekSKheu6RgpgHSIyEl/sZYnrqzA7YncGzLhD\nACTv5+qaITX8eGQHM1syDOxAWuyXq9MW/6H9x3ZryRVhDETEgZNjyAkM3CGyAmdIrLBfrjavtzlH\n7QwDO+gHxuBsSTFI/JcjSzy8CitAGgDgOUkIgOT9XF0zpIAhwTrb6ym6rg3nVlh2n80uOET224pr\nG4L4QocZd4hsUJEgPdGuprb8VDAjUFERhS8kF77Qj8iS/XK1ZfdZpVYeQpQDBu4QmaAiQRoeefu0\n8fFLK+YHOY6ua2ThC8n5WT3UUBAPUQIUZtwh8kBFgvSqrVmrtMxLK+bbnh8cvCwZBnYofN6zLPFh\nLILwig4Dd4gMUJEgld8Ka5s5U7t4JyNLFYUrghmQioogsmQaqXWWJdxLi0gRDNwhkkelWXa15acq\nrCsurZjfODqu/bR/Ne8Z7HHmWKdV7kg8+4glfl6FFTPu1I7E/VxFMyRw2m7SuF0cmS2Ft+t02vh4\n8CNjnVZZo9h9SC7oMHCHSBqVzpAExWOJB5wtSRyJ/3Jkif9XYQc8nELNSNzP1TVDCg1YEA+RLhRm\n3CHSJVxsA6SI7fnBbTNntkrLZNN58uTJu3bt8vZowt135yyDOcHZhgDAoEGDli9fLrYVUmSTbZP/\nTjoAE4DJEbjzXuPOt28joUFV3o6C5Ept+almPR88t+ilSyvmdzKvbNwuznf/Xbt2SXkKrEikX7RY\nHOzQsbajb41pQA9gAbADWAD0XgN36NtSQFXejiE7Vxq3i4uZlsvkO1xaMT/I+g4IEiIo+HvM38HK\nIqubwsAdIkVQkDzTuF1cnHlV28yZFYUreKnvgCAh4JtW3wDFTmN0mHGHSA4UJF+0SsvsZF7JY30H\nBBGcfAA7gJlFT9wqi0gMFCQ/MDuWiCyJbQ5bampq6urq3G9LH/laLhUogHx2GkPJMnCnGA9RzAvh\nEXUJUsD7H4ksJaws49ce4Rg+fPiaNWvcb0sfUSxX2sZYAyg4cCdf33ZBMS+ER9QlSDk5OfwOKK98\nB51Op3Fwzz33JCcn//Wvfz158qQURhMX3h1DfFQWuBPUG5Xk6hIH076DgpeyQ6Hkvvvue//99wHg\n5s2bhw4d+uyzz5KSkv773/+OGTNG9NEQPqEA8gHMAEZ2PUmNu2wZ17gT1BvR1UMDClLg1JafapWW\nCZv+I7YhHIiMjBw1ahS5PX78+BkzZowePfr5558/dOhQixYtxB0N4RkDgIFdTx3brbJSRlBvRFcP\nDeoK2fELWVgS24qgaNGihclkOnXqFIlfp6SkOAeylyxZ8uijjwY8WvADIqFDEYE7Z/j17VAOrmZQ\nkNTOsGHDwsLCjh07BgBFRUUXL15kHjp79uy+ffsCHo2XAZEQQcky4843/Pp2KAdXLShI4mNeZ7OW\nXNH+Y7tm5ibtP7ZbS66E8sSK8PDwdu3a2e12CY6GhBSdYBl3WgANQMiL3QvqjejqQoBrSCKTXXDI\nsvss9VsEc7Jf2uI/yI2QHVdRU1PTpk0bHx0uXbr03XffMXcHDx6clJQU8GiIOLBJcHCpcSd/uHoj\nurq4oCCJjHGk1rL7zjmzzI3UbiFy9MrKyitXrsTF+aoha7fbDQYDczcvL8/bt5TNaIgImAEsAKn+\nDkCi7s64ayK4XYISgDeiq4sLChLPWHafNa8PNuBGRUVkFxzi9JSADwBcvXo1APTt29f9oRs3bpAb\n/fv3Z3mQo4/RnAdEQo0ewApgZnEin84p487l9BQLu41N7tgdNwKb8xtYzO08wca3XeDF1dHPAwYF\niWdKL1czs5yACX4ElpSXl5tMpgEDBqSnpwNAixYtysruVKPYuXNnMKMFPyDCGxRAPoCWY+DOhVJP\njewJ5rnc4de3Qzm4mkFB4pn4qAgqKoLTU9zlh+sI7Lly5cq6desAoLa2dv/+/Xl5ebdv3162bBl5\ntE+fPkuXLs3IyOjSpcvHH39cVFQUFRUV8Gg+BqysrNy5c+fw4cMFepmIBygAk2NxiPLXkwncORPv\n74nesDuNLBjB+PbGjRv79OkTHR3N++Do6tygVUNCQsKCBQuEGDaYpxcevwx/2+jyR729rfD45WCG\nHTJkyNdff+1yOzU1lfncW7VqNXjw4Oeff/78+fPMs3777TcSE2/UqNGjjz76r3/9i6Iob5fwO5qP\nAQ8cONCmTRv2lrsQ5HvuzoIFC3gfUxT8vAobTetoWsduLBN/7zNF00DTXl2JG0L4dps2bdasWePt\nisEMHqSr03x7u8T9XF0zJAmWLNt8/Kp7o53E/bryfC2r1eq7Q//+/UtLS0+fPh0ZGdmyZUsAeOml\nlwIejeuAIpKTk7Nw4UKxreCHvLw8r35OcQzcfcGzbcLBr2+HcvCQkZeXJ30nx31IImMcpTWN1Ba+\n0I+E6aioCNvrKflZPQwDO4hij0ajiYuLI18qoQd8//3327dv37Zt2+nTp/N1OcTPry7KEbiz+xuI\n4sUcCcG7b7MfXAqunpOTI/0D6dU1Q5ImJDvO9noK02KIEkeNQklFRUVxcXFxcfHx48d1Ot2kSZOG\nDRsmtlHqgGTcZQMUhuqKsi3Yygvo6uzBGZIyefnll++//37329KBpul//etfbdu2HTx48JAhQ44f\nP07apW+57KEA8kOoRnwjOw9BV2cPzpCUyWOPPebxtnRo1arVPffcQ243bdr09u3b5Lb0LVcClNgG\nBIHsPARdnT04Q0LEQaPRiG0CgoQCdHX2oCAhCIIgkgAFCUFUj11sAxAEAHANCRGFnj17Xrlyhbn7\n/fffi2iM2tEC6OR6SixfOHsjv6CrcwJnSAiibvIBLAAWsc1AEBQkBFE7OgATgBkDd4j4oCAhiOoh\nZ/EFdrQEgvAHChKCqB4KA3eIJFCXIOXl5YltAiJF0DFAB2DASRIiMuoSJAlW+0akADoGgKP+d7bI\nViBqBtO+kaCoqqoqKSnp2LFjZGSkxw6VlZV2u52iKKYQck1NTXX1nTMJW7VqhVvZJQHlOJdPz+Kk\nc3VQUVFx8eLFLl26uLTX1tbevHnTuaVJkybNmjULoWnKRF0zJIRfvvjii9jY2KeeeoqiqP/7v/9z\n7/D222/Hx8dPmTKlU6dOixYtIo1vvvlmfHx8Dwfnzp0LrdWId3QABlSjO5jN5tmzZ7u3r169OtaJ\ne++9FyfZ/CD2CYGhQ6CjEiV+AqNwXLx4sVmzZps2baJpuqysrG3bths2bHDusH79+ujo6HPnztE0\nfejQoVatWhUXF9M0PXLkyHXr1gVzaSHec2V8jqo6XVRQ3nzzzSFDhgCAXq/33fPs2bP333//4cOH\nBbJEVZ8pzpCQANm8eXNcXFxaWhoAdOjQYezYsT/++KNzh61btw4fPrx9+/YAkJSUNGjQoJ9++gkA\n9u3b16dPH5vNVlVVJYrlCOKXjIyMN99802Aw+O5WV1c3bty4f/7zn4mJiSGxS+GgICEBcubMmbi4\nOOZuXFxcWVmZc4eoqKiTJ0+S2zRNnz59+uTJk+Xl5ZcvX87IyEhPT4+MjDSZTKG0GUFY8tBDD40a\nNap79+6+u/3nP/9p3br1ww8/HBqrFA8KkvKx2Wx//PHH1atX+R22trY2PPxOUkx4ePitW7ecO0ya\nNGnv3r2vvfba9u3bp02bdv369aqqqsuXL0+aNGn9+vU2m2379u3vvffezz//zK9hiHoQyLdZUlVV\nZTQa8UcVj6AgKZaamppp06ZFRkZ26dIlOTk5KipqwoQJNhu306SbNm366aefenwoIiLCOdHo5s2b\nLllGsbGxW7duLSkpee211xISEsaNG9e+ffukpKTPPvssNjYWAJKTkydMmLBp0ybuLw5RNUL7NkvW\nrFnTsmVLstSE8AKmfSuTqqqqYcOGHTt2bP78+enp6QDw3XffzZ07d8SIETt27Lj33nuDvwRFUUeP\nHmXuHjlypGfPns4dLl26VFdX99VXX5G7KSkp06dPt1qtly9fnjBhAmmsr6+vq6sL3hhEPYTAt1ny\nxRdfTJo0KWSXUwM4Q1ImixYt2rNnj9Vq/etf/9qlS5cuXbpMnz59wYIFJSUln3zyCS+XeOihh6qr\nqz/66CMAKCoq+uGHH8aOHQsAixcv3rp1KwCEh4ePGjVqz549ALBu3bqDBw+OHTu2qqrqhRdeID9m\ni4uL16xZM27cOF7sQVRCCHzbG4xvE3bt2jV48GBBr6g2UJAUCE3T8+bNmzhxYr9+/ZzbJ06c+N57\n75FwGXtu3Ljx3HPPRUVFtWvXzmAwXL9+nbS3bNly+fLlb7zxRvv27YcMGWI0GsmX02g0knS71q1b\nz507d9KkSXFxcU8//fTq1atbtGjx8MMPT5069f777+/WrVtaWtq7776LEQ+EPaHxbW8wvg0Aly9f\nPnfuXI8ePThdEfGDyGnnIUQ9+5DOnDkDABaLJfihmjRp0qFDhzFjxixfvnzmzJlNmjR55ZVXnDvU\n19eXlZXdunXLxyAXLlxwabl161ZZWVnAVuE+JG8ofs9KKH1bIij+M3UG15AUyPHjxwGgc+fOvIxG\nUdR3330HAE899VRJScnGjRudH9VoNB06dPA9gntYv3Hjxn6fhSDuhNK3kdCDgsQzteWnfDzauF2c\nSwtf/d17uiRhB8xjjz3G3E5OTt67dy8vwyJ8YjZDaipkZx+x20Grhfx82LwZjEaer2L3+SglWH+3\nnujbSgUFiWcqrCsurZjv7dGElWUuLbYXfC2Ksu/fNnNm28yZ5LZWqwUAZlOqM19++WVZWdnMmTN9\nXNQF5/mNRqOhaZr9c5FQkJ0NFgtQFNjtDS1paQ03+NWkpQAm74+6+4XW52js+5sclcjRt5UOChLP\ntNJlttJlsu+vXbyT0/je+jvPkEjt7W+//faZZ55x6TZnzhyscaI0jEawWO6oEXMjNZXnC+kdZ8uy\nhNu+IO/9qTs30beVDQoSz7iHzkLfPywsbPr06bNnz/71118ffPBBpn3jxo37K8l4XQAAIABJREFU\n9++fMWMGpysiUoeZDzlDUZCdDRz3ivqBEr8/+raywbRvZTJjxoyuXbuOGDHio48+On78+IULFz7/\n/PPMzMwHHnggO/uuI9gqKipOnDghlp0IDzBTIpdGj+3yB31bweAMSZlERkb+9ttvzz///MyZM2/c\nuAEAYWFh2dnZ77zzTljYXb9CzGbzpUuXLBaLOIYiweO8euTcqFDQt5WM2HnnoUM9+5CcqaurKy4u\n3r9/f1VVlctD7E98kRq4D+kuCgtpANc/iqILC4McWOLviSJ92x3ch6RY8vLy1HawY1hYmLfN5BkZ\nGUOGDCkoKKBVn1yUl5cntglBsHmzh0blhuwY0LeVh7rWkNSmRr5heeKLGpC3YxiNYDJBYaGCw3Rc\nQd+WKeoSJARRJkYj6HRgsyUmJNzJrDObFT9JQhQGChKCKAuKAnJknN0Od2edIYjEQUFCEMWh14NO\nBwBgtQLmmCHyAQUJQRQHRUF+fsNtDNwh8gEFCUGUCAbuEBmirrRvxJ3XXntNbBMQYdDrwWpt+LNY\nwGAQ26BQg74tO3CGhMgS++VqsU2QPBi4Q+QGChIiS9I+/N28jtfKoYrEOXBnNotsDIL4AwUJkSX2\ny9Wm9TbtP7ajLPmBybizWDDjDpE4KEiILKGiIsBJlqwlV8S2SKpg4A6RDyhIiCwpfD7ZNLLhhFH7\n5eq0xX9kFxzChSXPYOAOkQkoSMqkpqamrq7O/bZirktFRRhHaW2vpzCyZNl9Vg0LS5WVlY8++ijn\npykocCeWb0vNBkWCgqRMhg8fvmbNGvfbCrsuI0suETxFytLt27ffeeedCRMmlJeXc36yggJ3Yvm2\n1GxQJChIiOyhoiJcInhElhQWwQsLC8vIyHjrrbcCfD4G7hDJg4KEKAH3CJ79crXCInhhYWEDBgwY\nMGBA4EMoKHCHKBIUJEQ5MLKk69oGJB/Bq6ysPHXqlHNLdXX1sWPHKioqmJbt27cbjUaj0bhs2TIe\nLqmgwB2iSFCQVERKSopzsHvJkiU+lsc5dZYUVFRE4QvJ+Vk9JJ4avnDhwkWLFjF3165dO2zYsJdf\nfjktLe3dd98ljR07dhw6dOjQoUN79erFz1UVGrgL2F3l6+eKBAVJKmi1Wo1Go9VqhbtEUVHRxYsX\nmbtnz57dt28fL50liGFgB8mmhn/wwQf/8z//k89MVgCuXr36xhtvLFy48Ntvv/3pp59Wrly5fft2\nAIiPjx8xYsSIESOSk5PZjDy+oiIxMTExMdHXoeyhDNyZzWC1glYLGg1otWC1CqSCAbur3P2cDXl5\neYkOxLbFD1hcFVEsJIKnH9hh6e6zpvU2ALDsPmstuWIY0ME4SkDh90tKSkr//v2///57mqZJy65d\nu2JiYgYPHgwA0dHR6enpW7ZsSUlJ4Tau1frOuXPvPPccGI2+upHAHfnpYzaDTifU2efZ2WCxAEXd\niQ2mpTXc8G0hwis5OTk5OTnktsQ1CQUJgUuXLn333XfM3cGDByclJYloD78wspT24e/2y9Ukgmf5\n7ayIsjRw4EAAOHDggN3xP/X58+c7dOjAdIiJiSktLfX43EaNGv3666+ex9Xp8tq2zbFYIDW1YQ7k\nDRK4M5kaAndOczU+MRrBYrmjRsyN1FRBLucPZfu5MkBBEhkmRsf838S02GwhWoq32+0Gp7MJ8vLy\nlPdFJanhzFSJkSXSmNqtjS39bc3MTVRURH5Wj83Hr4ZYq27fvt2oUSPmbnh4eG1tbQDjfNOqVU58\nPGRng1/nYQ6nIAImxOEUzHzIGYpiZZ4AqMHP5Q4KEs9YLBYzlyi5/e5MJ+e7nNaTDAaDkWMY5MaN\nG+RG//79mdiR387yxT2CZ79crf3HdgCgfouobd6WdEtb/Ae5EUpNatq0aXX1ncWtqqqqpk2bBjDO\nmcaNIT8f0tIgO9vPvCeAwJ3Fwm0FyGMWH2nktFZqMHAN8Xl0V5X4uaxBQeKZ0tJSO0/ZtHyNw9Ci\nRYuysjLm7s6dO/nqLCMYWcouKLaWXCWNTKYDcyO1W5tQWtWxY0fnj9tms3Xv3j3AsYjSpKUBRflf\nTOIUuCst5S1TXFTf5uWJiBCgIPFMfHw8FdASMfP/UWBPZ0OfPn2WLl2akZHRpUuXjz/+uKioKCoq\nKoDOlZWVO3fuHD58uEB2suHcwpfaZs5s3C4usKeT1HDL7rPZBYc8PppdcMj2OsecgiAYOHBgTU1N\nQUFBVlbWwYMHN2/e/OyzzwY+nE4HJhOwWUziFLiLj+eW/uBNdQTwcB/uunHjxj59+kRHR3N9ohT8\nXG2gIPGMwWAwBBSO12q1drudoijhlo7mz58/fvz4Bx98sFGjRo888ojZbP7ggw8C6FxaWvr4449f\nuSLmtp6qg7+eNj7eKi2zbebMgAcxDOzgUZBCnxrevHnzefPmvfbaawsWLLh+/fq0adP69u0b1IhE\nafyu1nAK3BkM3JaazOaGPU8uGI28L1n5cNfHH3982bJlY8eO5fpEKfi52kBBUhH9+/cvLS09ffp0\nZGRky5YtAeCll17ipXPo6WReWWFdUVG4oqJwRTCyREVFuMsP2VErNM8995zz3fT09F9//fXixYuR\nkZHh4UF/MZ2Vxm9PgTLuSMAwNRWys8FuB4qCwkKwWoVIoAjYXSXu52oDN8ZKBZvNRtO00Jl1Go0m\nLi6OfPGC7Pz++++3b9++bdu206dP59VGVjRuF9c2c2Yn88pWaZmXVsy3PT/40or5AYyTn9WDU7ug\naDSa6OjoINXozpZYigJ/a/gNCLdV1mgEnQ5sNqBpsNmAogRJ5wMAjr7N/oni+jmPkO2xYlvhB0UJ\nUoBHxSDcqaioKC4uLi4u/uGHHz7++ONffvlFFDOILGkX72Rk6ebB7ZxG2Hz8qnsj2a7Ek42hhtkC\nyQGXGneIA65+fuHChenTp2dmZubm5tbX15PG//znP4sXL168ePGFCxeEN9krOTk5R44cEdEAVtCK\noLa2ds6cOSNGjHjggQe89UlISBDi0gINGyTffPPNiRMn3G/zwoEDBzQaTUVFBbk7fPjwTz/9NATX\nZfD4nt86f/LkrAkBjGb66UTh8cuNn1sBf9tIvb3Ndqkqf1dZ0DaKQ1DeaDLRADQAbTDwMJpgcPWx\nNm3arFmzJoALBeDnJpPpxo0btbW1U6ZMeeihh6qqqmbMmLF//37y6IcffhiAGfx+CtL8TBkUIkh1\ndXW7d+/esWMHClIIOHDgQOvWrZm7o0eP/s9//hNKA4R4z5XxOQb1Kmw2Wqdr0KTCwmBHkwzBCBIn\nP9+7d++hQ4eYu+np6d27d9++fTvTcujQIecOLFGVICkkZMfDUTEIFzQajdgmINzxvT7kHLjLzhbe\nGhnAyc/Lyso6d+7M3P3oo4+OHTu2f/9+piU6Ovrs2bN82qc4JCpIIhwVgygU2/ODKwpXiG2FBDCb\n/Z+B5Hw4BWoSRzIyMtauXcvcnTt37o8//vjyyy9v3ryZtKxevXrYsGEiWScPJJr2vXDhwqtXr77z\nzjvk7tq1a2fPnh0bG3v69OmsrKz/9//+HziOigGAtm3bimkrImFqy0+1Sss8t+ilSyvmt5/2r+Y9\nQ7fXVXKQnUlpaX52Jun1DRVRLRZISAiVcUogPDy8Xbt2S5cubd68+c8///zqq6926dJlw4YNzzzz\nTP/+/cPCwsaPH89DQr+yETtm6Epubm5WVlZCQsIrr7xCWq5cudKnT58dO3bQNF1eXj5o0KBt27Z5\nfO7t27dxDUkNcH3PSb7DkYkdzubNuHX+JC9jShM/r8Jmc85Z8EphIVlJUsZ7EmLq6uqqqqpcGm/c\nuFFXVxfYgLiGJCYpKSkvvvjihAkTmBaPR8UENrj/s8sQJdK4XVyceVXMi7mkvoPzjiXm7DIRzQsd\nZJXIYgGr1Vc3UnkICYiwsLCICNeN1c2bNw8Lk9x/thJEcu/RwIEDhw4dGh8fz7S4HxVTXl7u8bm+\njooBAIAjR44cOXIkkI0aiPxplZbpvpGWbM6Qwf4M1vj5vWUwgMnUUDrBB3q9UKf2ISKBG2P5ga+j\nYhDEeSNtMEXwpIz/31tEbDweVsTgnHGHKAJZbIyVgSDxdVQMghCILIlthXgQsSGV63zgu0w4ggiA\nDATJ/aiYTp06iWcOolhqy0/576QMmMUkBJESMhAk5qgYACBHxaT5jjZ4B9MZhKCiouLEiRPeHq2s\nrDxw4EBlZWUoTeJKXl7eksQbAZ+uJEsMBlHOEZcXPny7pqbmmhM0yzq2iE9kIEjkqJjc3NyUlJSs\nrKxgjorBdAYhMJvNs2fP9vjQ22+/HR8fP2XKlE6dOi1atCjEhrEnJyfnL0daiG0FIjl8+Pabb74Z\nHx/fw8G5c+dCbJsikeguLWGPikF4YtasWZs2bdq2bZter3d/dMOGDQsWLCguLm7fvv3hw4cHDx6c\nnp7eo4cIxzogCFd8+zYA7N27d8WKFSNHjgyxYcpGNv+5k6NixLYCuYuMjIwhQ4YUFBR4jFds3bp1\n+PDh7du3B4CkpKRBgwb99NNPKEiILPDt2wCwb9++Pn362Gy2mJiYZs2ahdg8pSKDkB0vaLXao0eP\natkcoImw5qGHHho1alT37t09PhoVFXXy5Elym6bp06dPM3cRyaHV+tmZpDJ8+3Z5efnly5czMjLS\n09MjIyNNuI+YJ9QiSGrGZrP98ccfV696OIlOUCZNmrR3797XXntt+/bt06ZNu379elVVVYhtQFhB\npEiG1VTF8u3Lly9PmjRp/fr1Nptt+/bt77333s8//xxiGxQJCpJiqampmTZtWmRkZJcuXZKTk6Oi\noiZMmMD1iPSmTZt++umngRkQGxu7devWkpKS1157LSEhYdy4cSR8J0GUlH4ZyGuhKCgsBKtVLsfF\niu7bSUlJn332WWxsLAAkJydPmDBh06ZNgQ0VMrBSg/hoHTA7mZgWUe0SnKqqqiFDhixfvvzdd98t\nKSkpKSnJzc3duXPniBEjLl68GBobLl26VFdX99VXX1mt1hkzZuzZs0eyC0hKSr8M8LWQgyf8lrmT\nAFLwbavV+vXXXzN36+vr6+rqQnPpgJFFpQbZJDUEhv3usLhdNVHyRYsW7dmzZ/fu3f369SMt06dP\n79ix4+OPP/7JJ5/8/e9/F+7Sixcv7tOnz9ChQ8PDw0eNGvXzzz/ff//969atO3jw4NixY4W7LhIs\nRiNYrZCdLfH9SVLw7aqqqhdeeKFfv35arba4uHjNmjU//vijcNdVDwqfIVEO3BvFMSgk0DQ9b968\niRMnMt9YwsSJE9977z0SZ2DPjRs3nnvuuaioqHbt2hkMhuvXr/vubzQayZezdevWc+fOnTRpUlxc\n3NNPP7169eoWLXCvj7Qh9eskvJgkEd9++OGHp06dev/993fr1i0tLe3dd98dMmQI19eCeEDMsy9C\niLMCmUwmHkeW4PkiZ86cAQCLxRL8UE2aNOnQocOYMWOWL18+c+bMJk2aMOdUsefChQvBW+KMEO+5\nBD/HAODhVZDDkEwmfkbjG0n59q1bt8rKyoK3xDeqOg9J4SE7j5AcTaPRKLYhQnH8+HEA6Ny5My+j\nURT13XffAcBTTz1VUlKyceNGriPce++9vFiChAJyGJLFAqmpYpviAUn5duPGjZ1PxkGCR42CBEJq\nku9lKvdQIV/93XveunXLx8jseeyxx5jbycnJe/fu5WVYRLqQw87dq337XoJ1D4Pz1R99WzWoRZBs\nNltiYuK0adPuueee7OxsEEyTli5d6mOXHO2269t3vh/7/iaTiXktpI/HXahffvllWVnZzJkcDl9w\nnt9oNBp3kxSAktK+eYBkgbuzdKmvk2TdHcN3Liv7/iYToG+rA7UIEoHJiBVOk/R6vbfiVx7hunnC\nW3/nGVLHjh0jIyO//fbbZ555xqXbnDlzpL8XIfTk5OQsXLhQbCskj14PXHybc7aet/7o26pBXYJE\nMBgMIJgmcc3fE6J/WFjY9OnTZ8+e/euvvz744INM+8aNG/fv3z9jxgxOV0SQBrjmpgrQH31b2Sg8\n7dsbBoMh33FCs8lkMstkgzp7ZsyY0bVr1xEjRnz00UfHjx+/cOHC559/npmZ+cADD2Q7JfVWVVUd\nOHAg9JVXECRg0LcVjEoFCZSuSZGRkb/99tu4ceNmzpzZvXv3du3aTZkyZfz48WvXrg0La/jQFy9e\nHBsbq9frKYp68803xTUYQViCvq1kxM06DyUeE/AZTYJA9ydJPK+/rq6uuLh4//79VVVVzu379+9v\n2bLl0aNHaZq22+2tW7feunWrSDZyBvcheSMhIWHBggU8jsbXUEKgSN92h69PYcGCBQkJCRL/TNU7\nQyIoe54EAGFhYT169OjVq1dERIRz+759+zIyMkh1/fj4+G7dupEdHojcUVJdPt+gb3NCFrXs1C5I\nAGAwGJhEbUVqkkeeeOKJb775htw+evRocXHx4MGDxTUJQXgBfVu+qEuQvG03MRqNjCZZLBaVaBJh\n69at6enpr7/+elJSkti2iAbuQ1Ik6NvyQ+yYYejwGzxlNImiKPbrSRKPyfqgpqbmf//3f2NjY1et\nWiW2LdzANSRvqKrumQ/k69vuqOozVdE+pIqKCt8dyG4kk8lkt9stFgsout4dAEycOLFx48YHDx5s\n06aN2LYgCJ+gb8sUtYTs7Hb7uXPn/MbimNgd0SQFx+5Wr15tt9v/+9//4jcWURjo2/JFLYJEUVRM\nTAybnAWVaNKGDRuKi4ubN2/e1IHzCZgIIl/Qt+WLikJ2rVq1mjNnDtnL7TsWp4bY3aJFixYtWiS2\nFQjCP+jb8kVFggQABoOhtLSUjcaoQZMQBEEkhboECRy6YrFYUlNTde4nvrj1RE1CEAQJDWpZQ3JG\nr9cbDIbs7Gyr1eq7p0rWkxAEQaSAGgWJoihSddG5NrA3UJMQBEFCg7pCdnl5eaTSF0VR+fn5LM8i\n8h27GzRoEB4LFmIGDRrE74BYqcEj6NtSgHdvlzRi78wNHUFuUQ6sjgMiFyS+g50l/Fb7ZoXNRlMU\nrdP5ehSApii6sFAoGww0TbHraaNpHU0DTQNN5wtljjSRRbVvFCQOoCYpGIl/UVkizquw2WgA2ts3\nIj+fBmjQJKEMoGmKpg2sOxNBEswcKSNxP1fjGlLA4HoSgniAoiA/HywW8JglZDCAwQAAYLcDi1Xb\ngAwAMAJYWHc2AQCAHUAYc5CAQUG6AxuBQU1CEA8YDKDTQXY22O0eHjUagazXWq2eRYsHAwBo1p31\nABQAAFgArEJYgwQIClIDFouF5WFIqEkI4gGS6eNxDkRRDY8KN0niBAXAnBQtAXMQBhSkBsjRsYFp\nkt/9TAiifCgKCgvBagWP36AQBO44ocPAnRQRVpAee+wxGRWVIkfHspz0OGsSmz22iFKRl5MLC0WB\nyQTeCpqEIHDHCQzcSQ9hBWnYsGG//PJLfX29oFfhEaPRaDAYWE56UJMQkKGTC4uP8loYuEP8Iawg\nTZkypUOHDlOnTt2wYcP+/fsPORD0okHCvrAQoCYh8nRy0QhN4M4CoGU36dFh4E5aaGiafW4KZ556\n6qndu3e7tx85ckS4i3ojMTGR5XWJutjt9sLCQjbVHMxmM5ElUgDCd81WRJqwdw8XZOrkomG3Q1oa\n2O0NyeICfVnSAOwANjb2ODoDQCGAMOZIB6l7iKC7nK5du3bp0qVLly5duHCBpulLDgS9qDc4bWK3\n2Ww6nY5ivZXPec9soXA70hFhIJvYA3uu1JxclOt6xeN3ITRbZYH1VtlCFW2VlZyH3I3glRp27tyZ\nlZXVu3fvHj16jBo1asWKFfX19UJf1CNcPwmbzcapP2qSrAnmiypfJxcWnc6r5BgMDZrEKFNhodda\nD4GRT9MUTRey62xwaBJLDZMt0vIQN4RdQ9qzZ4/BYGjbtq3ZbJ4/f/6wYcNmz55N6pNKH5alVxlw\nPUmdyNrJhSU/H8DLziR30tLAZPKcMh4YBgCK9cqQETPupIGgcjd16lSj0ejc8v333w8YMEDQi3oj\nND8NcJ4kUwJ2DxU6OQcKCz2XuSPl79z/+P3K2GgaaJrlvKtQFYE7yXnI3Qg7Qzpy5Mjo0aOdW0aO\nHHnjxo1z584Jel0RwXmS2lChk3NApwOTyUOZu7Q0D50piufUOwogn/WkRwdgAADMuBMTYQWpXbt2\npaWlzi1nzpwBgKioKEGvKwQajYZllSDUJFWhJCcXBL3eg9J4LHlnt3tuDwZDQIE7KwbuxEFYQRox\nYsT8+fM3b95Mtg0eO3bsb3/7W2pqapMmTQS9rhCwLywEqElqQklOLggkvdtl45HHBVqK8tweJPns\n8r/BUTUccJIkHoIGBOvq6l599dXExMSePXv269cvISEhMzOTZMeGHl7OQ+J0EhKuJ8mIgN1DYU4u\nFCTVOz+/4S5ZW3L5E/QQP/YoOuNOuh5C03RoDug7fvz46tWrCwoKfvvttxBczhu8fBJEk9irC2qS\nXAjSPaTj5KE+MZY9JtOdLHCTyXNSg7eTZ0OJjaYpR3ZDodjG8AeeGEs/+uijCxcuFPQS7OHlk7DZ\nbKhJiiRg91CekwuFy8Y+k4kuLGw44Fxqk6R8xWbcSdpDhM6yU17dSYqi9Ho9RVGkthCbp+B6krJR\nnpMLhcv6kNEIOh3YbOR//oZNSxKpu2rAjDtxwOKqnCEF6yiKSktLQ01CFOnkIkDOnAXhNUnLrhtm\n3IkBFlcNELvdnpaWBgA2G6sMHrvdvnTpUqYGK8uyrUjIwOKq4sPUXQWA/PyGuuA8XwJAC2ByZNP5\nxuKYHlGs8/Qkj8Q9RFhBqqiouH37tnu7KFs0eP8k7HY7J1FBTZIyAbuHsp081FitDXtmyfmzQnxB\nzAAWgELHBMg3aY7pkYmdhkkeiXuI4CG7L7/8MsoNQS8aMrjKCVl/YmJ37CN+iJRRtpMLhd0OGo2H\n0Byp7ACO2ZIQ6LlslWVO8LNg4C4UqCupIS8vT1wDUJOkSTCOITUnlwdkt6x7SSEA0OvvLCbxWGv1\nzqUB8gGsAGzGphyaZMfshlAgbMjuwoUL//znPysrKzMzM2NiYsLDw0l7jx49hLuoN6QzV8XYnQQJ\n2D3QyQPHbAaLxUNozm4HrRbAoVtCHOKn1sCdxD0Ekxp4Q6PRmEwmo5GVw6ImSQ1MahABklBnt4N7\nZpDF0hDQoygPj/JwaceMp5BdZ5KbRwHky/tUWal7iKC7nJjDNF0Q9KLeEHpHGNfCQmSPLfkUKIri\neh4gwi/BnxirBifnH3IOhcdvDVPNwSBMDR8bTQNN57PrnK+QrbIS95BQlA6SCCH4JLgWcUBNkg4S\n/6KyRJavIj/fc4EGm43W6Ro0id/DZBlMXARG59AkYWwJDRL3EEGSGr766qutW7eS23V1dSdOnKir\nqyN3y8rKXn/9dSEuKgX0er3BYGC/9RVzHOSLap2cf8iWWBK7c4YsIBE8pj8Ej5HLBiPnjDsNgIb1\nHluENYII0saNG/ft20duX7p06eGHH75y5Qq5e+XKlZUrVwpxUSkQQGEh1CSZolonFwSy8uqeBc5o\nkhRKClFOGXeIMAib9q1CAigshJqEqB2SuVDoKcEgZCWF2GCQd0aD9EFB4h+iSQCQxnpnH2oSgngl\nP78hL9xiAYtFTEu0bttjtY4/hA9QkASBpDZwfYqLJmm1Wo1Go9WisyPqxnkxyWzm/5hzBou/Dna3\nu8wfwgcoSEJBsua4PsVZk3CShCANhKCkkBnA7E9aKMefeyPCB+ECjbtx48bz588DwM2bNwFg3rx5\nzZo1A4DLly8LdEVlQDQJAJh0cESyoJMLiNkMLnvM9XqwWsFqbSgpxG4HOgf0ABYAs1M2nTvML0yt\nQ7oo1uUeEBYIIkixsbFlZWVFRUXkbvfu3YuLi5lHu3fvLsRFFYP7AhITteM65UKEA51cQEhJodTU\nu4oGkcAd+S64Pxo8FEA+QBpAquN0PjbYAbLZlXtAWCBs6SBJIfWaGQ40Go23h9TzYYUeubiHb5Tx\nKgCg4WCk0JcUygawspj0aO8O7uVz0TBRkbiH4BpS6NBqtWYW1YspB+7tQliFIFKEZDG453kbDHcW\nk4TIAieBQL9fUxsA7RTB87v4hLADBSl0GAwGi8Xit4iDzYGLAumEqHmMKA7Rz1jhB+Z8CvffcMz5\nFB4fDfa6APmsTz+iAEwAAGBnd5iFqOTl5SUmJopthT/Erl0UOkQv4kQq17EvdscIEnODfeVWhCui\nuwcvKONV3MFk8lrmjtS48/ho8BhY17izOdW4E8AQ3pG4h+AMKXQEUFgI7t7SZDKZ2AT9EEQh6PVA\nUSKUFCKBOzYDU05ZeWLXkVAAKEghhVNhIVL8m8TuGE2yWCyoSYhaYITH42KScCWFKACbz/xvl84m\nAMBTZXkABSnUBFBYCAB0Oh15lt1uZ7MQhSAKgVlMckc6JYX0jqw8C7vFJ8QLKEgiwMx4OJUFMhgM\nTBEHTkE/BJE3Oh143PAQspJCfqEwcMcP6hIk6SQgEU3iKipGoxELsAqBdBwD4UYISgqxtcSxFcmO\nmhQ46hKknJwcsU24A0VRNPeNri4FWPk3S5VIyjEQbjBZ4KSkkIgYHYE7KwbuAkRdgqQASKoe2ZNk\nt9uxFjiidkJwsKyGdcYdSc+z4yQpQFCQ5AeTqgeO9SSxLUKQEKLVej3sXKAscPZbZQ1OgTtMhuUO\nCpKEYJ/PTZagiCZhIjiiIux2oCgPy0WClhQyAOhYT3qYKuQWDNxxBgVJKpjNZk753LhhFlEjZDLk\nUXUELSmUzzoQRzky7lj2R5xAQZIKer3eYDAEXMQB50mIWmB2JrnsPRJ0MYkCyGedrWAA0AEABu44\ng4IkFZjCQpzyuXHDLKJGSIDOfe+RoItJBgCK9aSH2ZZkwULgHEBBkhCcCgsx4IZZRI2QMnceF5OE\nKymEgTuBQUGSFoEVFsINs4jq8LGYJFxJIYpL4E7nCNxZAXi1QsGgIElqAy4eAAAfCUlEQVQOZmWI\nkybhhllEdTCLSS6RakFLChkAKIfS+DHPKXCHJ/ixAwVJihBNslqt7PcY4YZZRI2QxST3syudSwrx\nHrgrZN2TwsAdN1CQJApFUTabLZ/5ocfuKbhhFlEdRqPndiYL3GoVs6SQDgN3HEBBki4uR5izfApu\nmEUQgJCUFGJlBgbuOICCpDRwwyyCNCB0SSG2Zjid4IdfR5+gICkQEu4jt1GTEFUjaEkhANCyy7jT\nOwJ3Fqwn5AsUJDnBqbAQs/6EG2YRFeGeYkp2LIEAJYXsrLfKUk417nBt1zsoSLLBbDZz2veKG2YR\n1WG3e0hhoChwBLF5XkyiHFtl2ciczilwh5rkBRQk2RBAYSHcMIuoC787k3gP3FFcDqfQO07wY9lf\nfaAgyYbACgu5aJJw5iGIJCClg7KzXffDCldSSMclcMdk3OEkyRMoSHIisMJCuGEWURdkZ1LISgpR\nHAN3BgDAwJ1nUJBkRgCFhXDDLKIuyKKRx8UkgUoKUQAm1oW9jY7AnRUDd66gIMmPwAoL4YZZREVQ\nFJhMHhaThCsppOeecWfHSZIrKEiyhOw04iQtuGEWURdGI1CUr4Nl+S0pRDkKgbPBgCf4eQYFSa6Q\nQJzRWyEvL0/BDbOIivBYClK4kkIUAM26s/MJfvyZIHdQkGSMwWDg+hTcMIuoCIoCxy8w13bRSwpR\nWAjcAyhIqsNlwyxqksLIy8sT2wQ5IHRJIVY2hDRwl5eXl5iYKPhlggMFSY04b07CIg4KIycnR2wT\nZIJwJYXY4xy4swt7qZycnCNHjgh7jaBBQVIOWq0WizggCFuEKylEYLMvg8LA3V0oR5A+/fTTRx99\n9JFHHvnkk0/EtkUE7HY71yIOzhtmsYgDonw0Gq87k3gP3NlZn8inwxP87qAQQdq+ffuPP/5YUFBQ\nUFCwZs2aXbt2iW1RqAmgsBB5CqNJuGEWUTgedyYJVFKIAjCxO5GPwhP87qAQQTp79uwTTzzRrFmz\nli1b9u7d+9SpU2JbJAIBFBZyLuKAG2YRhUMWjUJWUkgPAKy3ypoAAAN3ShGkiRMnjh8/HgDKysp+\n+eWXwYMHi22ROARWWAg3zCKqgATo3GdCApUUohxbZS0sOusxcAcAALQkuX79+smTJ51bqqqqjh49\neu3aNaZl27Zts2bNmjVr1tKlS0nLxo0bR4wYsXHjRo9jJiQkCGewpCC7Xw0GA9enEEwmk3C2SRZl\nuIcyXoWw5OfTAHR+vmu7yUQD0AC0Tsfn5Uw0TdG0jUVPG00DTQPr/gEhcQ+R6Axp4cKFixYtYu6u\nXbt22LBhL7/8clpa2rvvvksaO3bsOHTo0KFDh/bq1QsA3nnnnS+++GLp0qXp6eniGC0ZAisshBtm\nEVVAdiC5z4QEKilEAndsxqOcAneqjVOIrYiu5ObmZmVlJSQkvPLKK6TlypUrffr02bFjB03T5eXl\ngwYN2rZtm8uzNmzYMHXq1Pr6eh8jS/ynAe8QgeE03SGJ4OCI4wlmmhRRhnso41UIjs1G63Q0RXlo\nJ5MkiqJ59P9CmgaazmdjGE3rHPMk/q7vjMQ9RHIzpJSUlBdffHHChAlMy65du2JiYsiyUHR0dHp6\n+pYtW1yetWHDhuLi4rFjxz7yyCOPPPKItx/4iYmJiYmJKtnKTioycCp2p8INs2T7uvR3sCN84ncx\nid+MOx2AgXXGHfN9VWd2g9iK6JkPP/yQmSEtW7ZMr9czD+Xm5v7v//5vAGNK/KeBdHCeJ9lsNrHN\nCRHKcA9lvIoQ4b6MRGAWk7iswvrBxqWzyTFJ4u/6DBL3EMnNkNy5fft2o0aNmLvh4eG1tbUi2qN4\ncMMsogq81SYWoqQQxaWz3tHforpC4DIQpKZNm1ZXVzN3q6qqmjZtKqI9igc3zCKqRuiSQv4NcNoq\nq7IvnwwEqWPHjs6LGTabrVOnTuKZI2PYF7tz2TCLmoSoC9HPp9ABGABAdVtlZSBIAwcOrKmpKSgo\nAICDBw9u3rw54DiSStIZPMK12J2qTj1Xs2MgnhGopBB7jI7AnVVFgTsZCFLz5s3nzZuXm5ubkpKS\nlZU1bdq0vn37BjaUmivzB1ZYSCVFHNTsGAgAgNkMWq3rziTnkkI8Bu6yAbQsulGOjDu7miZJYmdV\nsKW+vr68vLy2tjbgESSeXhIabDYbRVE6LnvRmQ2zyt6cpAz3UMarEAFvO5MKC+/sTOIr49RG0xTr\nDDpmWxJP5VMk7iEymCERNBpNdHR0eHi42IbIGyIqVquV/bIQnjCLKB9mZ5JLGECn4/9gWQrAyDqD\nzvkEPzb9ZY5sBAnhiwAKC6lwwyyiOogmuUfnhCgpZAAwsC4ErqYT/FCQ1AhZT+K0LIQnzCLKhyQy\nZGfftZjkXAucx8Uksj7ERmMMjkLgduXXuFOXIGEyFQMJxDFFGdig4A2z6BhIA6TUVghKClGBBu7s\n/Fxfooi9iBU6JL6aJwtsNhvRJOB4vIX0UYZ7KONViAwpsepeldhg4L+kkI6m3RIpPJPvyG4I7nAM\niXuIumZISJDghllE+XhbTDIa72SBazSg0YBWG+zCUj7rxSGdKk7wQ0FCuKGqDbOISjEYwGYDRzCg\nAYpybQGAtLSG05UCgwLId4rI+e1JYFM4XJ6gICGcUc+GWQS5C5fDXJjch9TUwMc0sO5JKf8EPxQk\n5A5ci92R2xaLxWKxCGcVgkgFj7k8FBW62kJ6R+DOoszAHQoS0gCRIvbpcwaDgWiS3W43m824YRZR\nPh5/rtntntuFgLo7cKc41CVImN3rAyYQx0mTlLFhFh0DYQVJamDfLogNToE7xSUVqUuQsIambwIo\nLKSMDbPoGIgvtNqGoFy+p/QD552zwcNm3qPcE/zUJUiIXwIoLOSyYVar1Wo0Gq2WTUFjBJEDJAvc\nbIbNmz08SnbL8vJTzMJOYyjFnuCHgoS4wrWwkMsJszKdJCGIV0iJVYsFUlPBZILCwoYYHUXdKb2a\nlsaDJhkAKNbbkgwAoLTAHRbPRjxgMBhKS0tJLM7okurqCaJJ8g3ZIYgf9HqwWiE7G2w2AGj4FxwZ\nDRZLgyYx7QGTD6AFMDuK3fnACGAFsANYnLLvZA7OkBDPkMUh9vnc7mqkdcC7bQgSapiFIvcyd0Yj\nn2fLUgD56g3coSAhXjEajTbWv/hc1MjuBO+GIYgIMCWFXELZpJ2pKhT8PnGdegN3KEgIP1AO3BvF\nMQhBeIdZTHLZdUdR4KhdElQloYbRHDXu2AxjdGTcWZWQcacuQcLtJsJhc+CiQEyRISmDjoGwRa/3\nXJrBWZOCPzaJ4hK4I6tNdiVMktQlSLjdJEi4xt/ksjkJHQNhCwnQeQxl63R3HZsUpCbpWAfuDMo5\nwU9dgoQEg1ar5XQun8FgACWe5oeoHR9RaIPhTiJ4kJuTKIBCAJZruM4n+FkDv6booCAhbGFZWMhm\ns5GztoxGI7M5CU9OQtSC0XjX5qTQQDk0yS7vSRIKEsIWroWFXE7zw1MqELWg199JBA+ZJhmcTvCT\n7VcNBQnhANfCQnhyEqJ8PCY4MIngZDttaHAO3NlDdE1+QUFCuBFAYSFGkywWC55SgSgKi6XhzwWS\ndMfj5iRgoTGUU+BOnjFyFCSEM+TUCfaapNPpmJOTZH1KBYK4QrIYzGYP+Qs8bk6yA6Sx3iqrAwAA\nqyxP8ENBQgKBKSzEsraQ88lJskgERxC2kJ1J3g6TZU6mCGZzEgWQz05jqLtP8LMHeEGxUJcg4f5H\nHjEajQaDgeR2s0Gv10s2ERwdAwkcojreCtnxlQhOAZjYaQzldIKf7BZtadWQkJAgtglqx2azkURw\nADAYDGKbcxfKcA9lvApZkp9PA9CFhZ4fNZloABqApijasS+CMzaa1tG0jnVPoGmg6fy7HpG4h6hr\nhoSICyaCB8mnn3766KOPPvLII5988onYtiB3Q2ZC3uZAej2QWEIwieBUoIE7+YCChIQUTAQPmO3b\nt//4448FBQUFBQVr1qzZtWuX2BYhd+N7MYmXUyqogAJ38sm4Q0FCQg0mggfG2bNnn3jiiWbNmrVs\n2bJ3796nTp0S2yLkbpjFJB+PBp8IrgcAdhqjdxQCt8imnhAKEsIb7IvduSSCoyaxYeLEiePHjweA\nsrKyX375ZfDgwWJbhLhBUUDTvh4NPhGcCihwJ5NJEgoSwhucCgs5J4Krc3NSZWWlyyynurr62LFj\nFRUVTMv27duNRqPRaFy2bBlp2bRpE3nrOnXqFFJzEV7g5ZQKHYDJcTSf356km10mmiR2VkXokHh6\niTIgsTiTycSyP9EkAKAoSlDD/BJ695gzZ84rr7zC3F2zZs2AAQPGjRuXnJw8b9480mi329evX79+\n/fqioiLylL/85S9lZWXexkQnlwckJY8k3XlLzOMLG01TNA2Of8kNqYKChPAMicWx1CTpJIKH0j1y\nc3OzsrISEhIYQbpy5UqfPn127NhB03R5efmgQYO2bdvm8qwNGzZMnTq1vr7ex8gJDhYsWCCQ8Qg/\n8JIIzo6dc3c2SJHkBSlcnHkZolwMBkNpaSmZ+hiNRt+dSSI4qd1gsVgoivL7FAWQkpLSv3//77//\nnnasN+zatSsmJoYsC0VHR6enp2/ZsiUlJcX5WRs2bCguLh47diy5+/LLLzNa7syRI0eEtR7hhNUK\nnj4mIH5uMjUkgns88Y8nBv3fIDgkj0pCKEgI/xBRsVgs8fHxfks5kKQ7rVYLACxlTO4MHDgQAA4c\nOMCsnJ0/f75Dhw5Mh5iYmNLSUpdnzZ07N1QGIjxBzo1lqqy6oNeD1QpWa4MmMWtLvKN1SxPXOm4I\nqIOBgEkNiCCQwkJms5lNBh051YLcZl8fT0ncvn27UaNGzN3w8PDa2loR7UH4gfy08pbmw9cpFRp/\nWd12t7vMn8RQlyBhybJQQorXeQwruUNidwBgt9tZyhiPiO4YTZs2ra6uZu5WVVU1bdpURHsQfiA5\ndVar1wxvXk6pMPjLoKMcfz5apIG6BCknJ0dsE1QE1wUhERPBRXeMjh07Or9em82GWd0KgaLAZPKV\n4R385iTyJfOhSTbHH0Wu6NQiMdQlSIjEIadagCQrggvKwIEDa2pqCgoKAODgwYObN29W1ctXOEYj\nUJSviFyQp1RQAPlyKsfgAxQkRFro9XoS5VOVJjVv3nzevHm5ubkpKSlZWVnTpk3r27ev2EYh/EH0\nxocmBXlKhY5F4E4WiJ13HjpwH5Lo6HRsSufTNpuNcmQlhWxzkhTco76+vry8vLa2NuARpPAqEM8U\nFtIAtO/9ecFsTrLRNEXT/r4uEvcQnCEhIcJut7MsLEQSwVV4SoVGo4mOjg4PD2ozhugJGohndLqG\nxSQfBHNKBQVg9BW4y8vLS0xM5DZm6BFbEUOHxH8aqAFOhYWYRHCSgCewaQpxD2W8ClVjs9E6XcM8\nKYDwgMFPIQaJewjOkJDQQYp8szwGSdxEcAQRhyBPqZD5nnIUJCSkkNxulpqEFcERNRJMIjglxWRu\n9qAgIaGG5HazrMig2kRwRNXwckqFDEFBQkSAU2EhdSaCI8pHq/X1qE7XkCxOEsHVoUkoSIg4kMJC\nbAJxZDGJJN2xPwAQQSQNcXvfzhzk5iQZgoKEiANFUXq9nqIoZsuR787qTARHFAtFgdEIFoufRHCj\n8Y4mBRAe8DkHkyAoSIhoEJkJoDPLnAgEkTRkAmQ2+5n66PUNJypx1SS7fE4ud4CChMgGJhEcACwW\nCyaCewQ3xsoJvR4oyo/MBHxKBQWQD2Bt2Cori42x6hIk/K7KHYESwZXkGKJXLkc4QMSGLBH57hbY\nKRUGAKphkpSTkyP904TVJUj4XZU4bBIWhEgER8dARINokt/FpIA3J+UD2AFkEuFWlyAhUsZqtbJM\nWHBOBNf6zp1FEOnDcjEpsFMqKDkdToGChEgF9oWFnBPBSewuFPYhiHCQxSS/GaeBJYIb7gTuJA4K\nEiIh2BcWwkRwRFE4R+R845IIzlKTZBK4C6rQPYLwDjn13GKxxMfHG0gpfi8QTSIhO7KqxOnEdASR\nK3o92O1gsTRoko1F9ToKIB/ADNBEcOuCAWdIiORgX1gIE8ERNUI21TKbk1iGrHUyqLuKgoRIEfaF\nhbAiOKJGAjilghLWIl5AQUKkCFNYiE1it0siOGoSIns0Gv8aE8wpFVIFBQmRKCQcZ2MTH3fMqAAr\ngitrk696yc8Hk8l/YjeXUyqwUgOCBAWbuqtMT6PRyGxOUnMiOG7yVQIGAxgMrBK7WZ9SgZUaECR0\nOG9OwkRwRPaQlFE2P60UdEoFChKiHLAiOKIcSDjOamW1OBTkKRWSAQUJkRMsiziQ25gIjsgbpswd\nGzcO+JQKKYGChMgGi8XCZt6DieCIcjAYQKdjFYgL+JQKKYGChMgG9oWFMBEcUQ7sF5MCPqVCMmDp\nIEROsC8spNfr7Xa7xWIhmsQyfRxBJIezzLDsTErgk1UlWdXTwhkSIjNYFhbCRHBEObDe/9DQOYBT\nKqQBChIiP8h5SH7XhzARHFEpsk0ER0FC5AeZ/ZDCQn41CRPBETUS2CkVYoOChMgSJr3bb6EgZ03C\nRHBERej1QNZZ5ZMIri5BwjJfSoIoDZtsBXIWLTgWk9w1SUmOoaTXgnhGq2W1MnT3KRXftG59pkmT\nI0ePNjxdktECDU3TYtsQIhITE6VfygkRDrPZTHLBnU+bZVCGeyjjVSC+YJaFWCaO2u0NSXcMFNUQ\nwTOZpJaDp64ZEqJmXDYniW0OggQEk0THMnGUolyli1lPSk3l0zA+QEFCVARJzwNMBEdkDVNSiGXY\nzePPL4qSYDUHFCREOWg0Gt95dJgIjigEnQ5MJrbbjDym2NntEky9Q0FClAObwkKYCI4oBL2e7SzH\n475aiuK23zYkoCAhyoGsElksFovF4qMbRVFMbp7fzggiUdgvJjGFG1i2iwcKEqIo2BcWYhLBSWeb\nzabRaLQu+UgIImVIYrfFAr5/VG3e7KFRkiE7LK6KKA1SVjU7O9s9t9sZg8FQWlpqMpkwwQGRMQYD\nlJaCz0LDDbndqakN+eLM0X++nyUGuA8JUSDMSUi+NQmcNicRnKN5cgSdHPGNxD0EQ3aIAnEuLOS7\n2J2zGhG0DgSzDkEQz2DIDlEmJJsuLS3N9wzJBTzKD0FEBAUJUSxs4m+MXDFSxEnAEERykFUieYKC\nhKgaRrGaNGlSW1sr9zUkRO2QkyZk68O4hoQgigKrfaua/PyG6qtu5OXlJSYmht4iTqAgIYiiyMnJ\nEdsERDyYMndu+/BycnKknF9HQEFCVISPYndarZamaYzXIbKHnF8uq5PLGVCQEBVBCgvhobGIwiFl\n7mR4xgoKEqIiSGEhj4fGIohyIIE7u12ax8L6AAUJURfkSCRSx0FsWxBEMIgmmUyszqeQDChIiLqg\nKMpoNFIU5beIA4LIG4MBDAYJnsLnAxQkRHU4FxYS2xYEERKjUV57klCQEDXCHNOHNesQJSO3kg0o\nSIpFjhskQ2nz2rVrmaNjEZmCTi6da/ECCpJiWbhwodgmcCaUNi9cuBALBckddHLpXIsXUJD4h8df\nJRL8McWmm+8+gb0oj88KshEJGHRydHIhUNEBfZMnT961a5fYViASZdCgQcuXLxfbimBBJ0e80bG2\ndpPNljdxYs7KlWLb4hUVCRKCIIiqsVpBpxPbCF+gICEIgiCSANeQEARBEEmAgoQgCIJIAhQkBEEQ\nRBKgICEIgiCSAAUJQRAEkQQoSAiCIIgkQEFSFJWVladOnXJuqa6uPnbsWEVFhVgm+cWjhUKYfePG\njaNHj16/fl3oCyGCgk7uA9k7OY0oiDlz5rzyyivM3TVr1gwYMGDcuHHJycnz5s0T0TBvfP755wMG\nDBg/fnz//v1zc3NJoxBmL1myZMCAAY888kifPn0++ugj4S6ECA06uTcU4OQoSAohNzc3KysrISGB\n+a5euXKlT58+O3bsoGm6vLx80KBB27ZtE9VGV44ePXr//ffb7Xaaps+cOdO/f/+ioiIhzD5+/PjA\ngQPPnTtH0/Tvv/+ekJBw7tw56b8/iAvo5D5QhpNjyE4hpKSkvPjiixMmTGBadu3aFRMTM3jwYACI\njo5OT0/fsmWLeAZ64PDhwykpKfHx8QAQGxvbuXPn0tJSIcy+du3a008/3b59ewBITExs1KhRXV2d\n9N8fxAV0ch8ow8nDxTYA4YeBAwcCwIEDB5hjuc+fP9+hQwemQ0xMTGlpqSi2eWPs2LFjx44lt+12\ne0lJSd++fbdt28a72cnJycnJyZWVlevXr//mm2+mTJkSGxu7ceNGib8/iAvo5D5QhpPjDEmx3L59\nu1GjRszd8PDw2tpaEe3xQVFR0ZQpU5577rkuXboIZ3ZVVdW+ffuuX79+7dq1GzduyOj9Qbwhow8R\nnZwNOENSLE2bNq2urmbuVlVVNW3aVER7PFJbW/vee+/98MMPb7755siRI0FIs6Ojo00mU319/aRJ\nk9auXSuL9wfxjSw+RHRy9uAMSbF07NiRiWwAgM1m69Spk3jmeCYnJ+fMmTPff/89+aKCMGb/+9//\nfuutt8jtsLCwXr16lZSUyOL9QXwjiw8RnZw9KEiKZeDAgTU1NQUFBQBw8ODBzZs3p6WliW3UXfz8\n88+nT5/+4IMPWrVqxTQKYXb37t1Xr1598OBBADh16tTGjRsHDBgg/fcH8Yv0P0R0cm6IneaH8MmH\nH37ovEVj48aNgwcPfvDBB3v16vXhhx+KaJhHTCZTUlJSTyfWrVtHC2P2+++/36tXr9TU1P79+3/w\nwQekUeLvD+IRdHJvKMDJ8YA+hUPT9MWLFyMjI8PD5bReKITZdXV1Fy9evPfee52XeWX6/iDOyPRD\nRCd3BwUJQRAEkQS4hoQgCIJIAhQkBEEQRBKgICEIgiCSAAUJQRAEkQQoSAiCIIgkQEFCEARBJAEK\nkkr5/fff2XTbt2/fjRs33Ntv3769d+9evo1CED5BJ5cdKEjyo0+fPhs3bgxmhE2bNi1atIi5+9RT\nT/3888/u3crKyv7yl7+0aNEiMTGxqKjI+aHw8PDXX399165dwZiBIN5AJ1cnKEhqZOHChZMnTwaA\nW7duLVq0aPfu3bdu3XLvtmrVqjFjxlRVVXkc5IknnnjnnXeENRRBAgWdXI6gIKmOwsLC69evP/TQ\nQ7Nnz37ggQcWLFjgsVt9/f9v725CkumiAABfNRW0bBFZ0D8FQZZmtkiSECIqzKKy3mjRylYRQSSU\nK1tHRGUFLVoEUQsTMgzaBEZgu/6w0Eo0FEmIzFCaZtR3MeAn/VP5la/nWY334pl78Qxn7ow6Yb1e\nr1AoXovT1tbmcDiOj4/jNlIAPgmSPEH99r82Am8gCEKr1W5vb3u93tLS0oGBgdraWrLr8fFxYmLC\nZDIFAgGZTMblcn0+38jICEJoZWVFLpdTqdTW1laxWIwQUqlUz4ObzWYOh1NeXk6ePDocjunp6cPD\nw8zMzP7+/p6eHjabXV9fv7Gxwefz/8dJg+QCSZ5UYIWUwFQqlU6nGxwcXF5eFgqFSqVyb2+P7Boa\nGjKZTGq1en5+3uv1zs3NeTwesstqtRYWFiKEKisrGxoaGhoa6HT68+A6na6zszP6cmpqSi6Xr66u\nSqXS8fFx8kHIRUVF0T0CEA+Q5EkFVkiJ6vz8fGtra2lpiTxh5PF4brd7ZmZGIpHYbLadnR29Xs/j\n8RBCk5OT0Yeg+P1+r9ebk5PzdvC7u7vd3V2NRhNt6evr6+rqQgiVlJSsr6+fnp4WFBTk5uY6HI5g\nMMhiseI0TZDMIMmTDayQEpXFYmEwGOTlCJJUKj07OwuHwycnJ2w2mzxQEUI0Gq2qqorcvry8RAi9\ne6waDIa6urr09PRoS/SSBZPJTEtLCwaD0Tg3NzffNisAYkCSJxsoSIkKwzA6nU6l/vcJMhiMUCgU\nDodxHI9tRwiFQiFygyCI2Jev0el0T+70vnjFg0KhIISYTOanZgDAOyDJkw0UpERVUlISCARsNlu0\n5eDgID8/PyUlpbi4+P7+/uLigmwnCCL6C8GMjAyEkMvleiOyxWLx+/2xp6WvcbvdHA6Hy+V+fhoA\nvA6SPNlAQUpUIpFIKBSOjo46nU6CIIxG49ramlKpRAhVV1fzeDy1Wm21Wq+ursbGxh4eHsh3FRQU\ncDict49V8k7vk9PPF7lcruLi4m+ZDgDPQZInGyhICUyr1WZlZTU3N/P5fI1GMzw8TH5liEKhLC4u\nZmRk/Pnzp729PTU1VS6XMxgMhBCNRhOLxXa7/bWYGIYZjcaOjo6PDMBut5eVlX3XdAB4DpI8uURA\ngsMwzOPxxLbgOO5wOHAcJwiCIIhIJNLb2zs7O0v2ms1msViMYdiL0QKBwPHx8Uf2e3t7KxKJnE7n\n14YPwPsgyZMErJASHoPByM7OftKoUCgWFhYQQhQKRa/XHxwcNDY2kl01NTV5eXkGg+HFaCwWq6Ki\n4iP7XV1dbWlpyc/P/8LYAfgQSPJk8dMVEcTF/v5+U1OTQCAQCAQSiWRzczO29+joqLu7+yvxcRyX\nyWTX19dfGyYAnwdJ/u+hRCKRn66JIF58Ph+VSuVwOD89EADiBZL8XwIFCQAAwK8A95AAAAD8ClCQ\nAAAA/ApQkAAAAPwKfwHAvMq1Tv3eQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Pure Neumann boundary condition.\n",
    "option.plotflag = 0;\n",
    "mesh.bdFlag = setboundary3(node,elem,'Neumann');\n",
    "femPoisson3(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Robin boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4913,  #nnz:    35729, smoothing: (1,1), iter: 11,   err = 2.75e-09,   time = 0.067 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    35937,  #nnz:   257313, smoothing: (1,1), iter: 11,   err = 8.49e-09,   time = 0.18 s\n",
      "Table: Error\n",
      " #Dof       h        ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  125   2.500e-01   6.40633e-02   8.75746e-01   2.90399e-01   1.03297e-01\n",
      "  729   1.250e-01   1.93507e-02   4.71714e-01   9.10331e-02   4.09455e-02\n",
      " 4913   6.250e-02   5.14258e-03   2.41519e-01   2.57055e-02   1.83236e-02\n",
      "35937   3.125e-02   1.30834e-03   1.21594e-01   6.98457e-03   6.58871e-03\n",
      "\n",
      "Table: CPU time\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  125   5.16e-02   3.37e-04   0.00e+00   0.00e+00\n",
      "  729   2.22e-02   3.12e-03   2.00e-02   1.00e-02\n",
      " 4913   1.06e-01   6.72e-02   8.00e-02   7.00e-02\n",
      "35937   1.18e+00   1.83e-01   8.60e-01   8.00e-01\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nAMjFnx9PtpTyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Pure Robin boundary condition.\n",
    "pde = sincosRobindata3;\n",
    "mesh.bdFlag = setboundary3(node,elem,'Robin');\n",
    "femPoisson3(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The optimal rate of convergence of the H1-norm (1st order) and L2-norm\n",
    "(2nd order) is observed. The 2nd order convergent rate between two\n",
    "discrete functions $\\|\\nabla (u_I - u_h)\\|$ is known as superconvergence.\n",
    "\n",
    "MGCG converges uniformly in all cases.\n",
    "\n",
    "Note that for Robin boundary condition, the order of the error in the\n",
    "maximum norm is not close to 2. Need to double check the code."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Matlab",
   "language": "matlab",
   "name": "matlab"
  },
  "language_info": {
   "codemirror_mode": "octave",
   "file_extension": ".m",
   "help_links": [
    {
     "text": "MetaKernel Magics",
     "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
    }
   ],
   "mimetype": "text/x-matlab",
   "name": "matlab",
   "version": "0.14.3"
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "navigate_num": "#000000",
    "navigate_text": "#333333",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700",
    "sidebar_border": "#EEEEEE",
    "wrapper_background": "#FFFFFF"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "120px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": true,
   "widenNotebook": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
